English

A monotonicity conjecture for real cubic maps

Dynamical Systems 2016-09-06 v1

Abstract

This is an outline of work in progress. We study the conjecture that the topological entropy of a real cubic map depends ``monotonely'' on its parameters, in the sense that each locus of constant entropy in parameter space is a connected set. This material will be presented in more detail in a later paper.

Keywords

Cite

@article{arxiv.math/9310235,
  title  = {A monotonicity conjecture for real cubic maps},
  author = {Silvina P. Dawson and Roza Galeeva and John W. Milnor and Charles Tresser},
  journal= {arXiv preprint arXiv:math/9310235},
  year   = {2016}
}